| As the first of the six core qualities of mathematics,mathematical abstraction is the basic idea of mathematics and an important basis for the formation of rational thinking.Improving mathematical abstraction ability plays an important role in the development of senior high school students.In the final analysis,the competition of comprehensive national strength is the competition of talents.As a basic subject of science and technology,mathematics bears an important mission in the training of cutting-edge talents.The research on the characteristics of mathematical abstract ability of logarithmic eugenic students is not only helpful to promote the development of eugenic students and make them better,but also helpful to the common students to learn from and improve their ability.First,I adopt the hybrid research method,to formulate a mathematical abstraction level,content modules,three test dimension mathematical activities,to prepare the test of 6 Y province school survey was conducted among 527 students of senior three,and take the top 20%(105)a student learn eugenics concrete analysis it is concluded that the high school mathematics knowledge of eugenics mathematics abstract ability of academic performance characteristics.Then,based on the Grounding Theory,the author conducted in-depth interviews with 31 mathematical eugenics students,and analyzed the recorded text of the interviews with NVivo12 software to obtain the psychological characteristics of mathematical abstract ability of high school mathematical eugenics students.Finally,the paper puts forward suggestions to improve and consolidate the mathematical abstract ability in view of the weak aspects and excellent performance of the excellent students in mathematics respectively.Based on the characteristics of eugenics in mathematics,this paper puts forward some suggestions on the cultivation of mathematics abstract ability for ordinary senior high school students.The research mainly draws the following conclusions:(1)The academic performance characteristics of high school mathematics students’ mathematical abstract ability are as follows: the overall performance is excellent at the level level,but there are significant differences in different abstract contents,the abstract performance of symbols is the best,the abstraction of graphics and graphic relations is deficient,there are significant differences in different mathematical activities,and the knowledge and skills are the best.There is no significant difference in mathematical abstract ability between male and female students.(2)The characteristics of mathematical eugenic students’ psychological activities are reflected in three aspects: non-intelligence factor(providing motivation source),metacognition(providing supervision system)and learning strategy(bringing learning guarantee).The most prominent comprehensive reflection is perfect resource management strategy,positive emotional attitude and obvious personality traits.The most prominent direct reflection is that the mathematical eulogy students have strong self-belief,correct learning attitude,and full of interest in mathematical abstraction.(3)In view of the weak mathematical abstraction of eugenic students in mathematics,four suggestions for improvement are put forward.In view of the excellent mathematical abstraction of eugenic students in mathematics,four suggestions are put forward.Drawing on the direct characteristics of mental activities of eugenic students in mathematics,this paper puts forward three suggestions on the cultivation of mathematical abstract ability for ordinary senior high school students.It is hoped that this study can help teachers of first-line high schools to understand the characteristics of mathematical abstract ability of superior students in mathematics and provide reference for the cultivation of mathematical abstract ability of senior high school students. |